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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 13475c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13475.h1 | 13475c1 | \([0, 0, 1, 2450, -10719]\) | \(884736/539\) | \(-990825171875\) | \([]\) | \(26880\) | \(0.99102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13475c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13475c do not have complex multiplication.Modular form 13475.2.a.c
sage: E.q_eigenform(10)