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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 1150.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1150.e1 | 1150i1 | \([1, -1, 1, 195, -7803]\) | \(2109375/67712\) | \(-26450000000\) | \([]\) | \(2520\) | \(0.67987\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1150.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1150.e do not have complex multiplication.Modular form 1150.2.a.e
sage: E.q_eigenform(10)