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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 103428.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103428.b1 | 103428n1 | \([0, 0, 0, -624, -6019]\) | \(-13631488/51\) | \(-100532016\) | \([]\) | \(35712\) | \(0.39531\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103428.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103428.b do not have complex multiplication.Modular form 103428.2.a.b
sage: E.q_eigenform(10)