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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 75150t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.v1 | 75150t1 | \([1, -1, 0, -2367, -63959]\) | \(-1030301/668\) | \(-951117187500\) | \([]\) | \(111360\) | \(0.99956\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150t do not have complex multiplication.Modular form 75150.2.a.t
sage: E.q_eigenform(10)