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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 7935h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7935.b1 | 7935h1 | \([0, 1, 1, -53076, -5367004]\) | \(-111701610496/18862875\) | \(-2792382469720875\) | \([]\) | \(101376\) | \(1.6905\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7935h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7935h do not have complex multiplication.Modular form 7935.2.a.h
sage: E.q_eigenform(10)