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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 277350c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277350.c1 | 277350c1 | \([1, 1, 0, -14830, 1371850]\) | \(-456533/774\) | \(-611591874990750\) | \([]\) | \(1774080\) | \(1.5279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350c do not have complex multiplication.Modular form 277350.2.a.c
sage: E.q_eigenform(10)