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SageMath
E = EllipticCurve("mr1")
E.isogeny_class()
Elliptic curves in class 428400.mr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
428400.mr1 | 428400mr1 | \([0, 0, 0, -17135464800, 863500557278000]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-104821122658208355000000000000\) | \([]\) | \(580608000\) | \(4.5700\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 428400.mr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 428400.mr do not have complex multiplication.Modular form 428400.2.a.mr
sage: E.q_eigenform(10)